Math Problem Statement

What is the modal class of time spent exercising based on the given frequency table?

Solution

The modal class is the class interval with the highest frequency. From the table provided:

  • 0<x100 < x \leq 10: Frequency = 8
  • 10<x2010 < x \leq 20: Frequency = 23
  • 20<x3020 < x \leq 30: Frequency = 11
  • 30<x4030 < x \leq 40: Frequency = 9
  • 40<x5040 < x \leq 50: Frequency = 13
  • 50<x6050 < x \leq 60: Frequency = 15

The highest frequency is 23, which corresponds to the class interval:

10<x2010 < x \leq 20

Thus, the modal class is 10<x2010 < x \leq 20.

Would you like more details or explanations?


Related Questions:

  1. What is the formula to calculate the mode in a grouped frequency table?
  2. How can the mean time spent exercising be calculated from this table?
  3. What is the cumulative frequency for x30x \leq 30?
  4. How can the range of the data set be determined?
  5. What is the importance of identifying the modal class in such data?

Tip:

When analyzing grouped frequency data, identifying the modal class gives a quick sense of where the majority of observations lie. This is especially useful in understanding trends.

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Math Problem Analysis

Mathematical Concepts

Statistics
Grouped Frequency Distribution
Mode

Formulas

Modal class is determined by identifying the class interval with the highest frequency.

Theorems

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Suitable Grade Level

Grades 6-8